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Simplifying -2y + 2 = -4(y + 1) Reorder the terms: 2 + -2y = -4(y + 1) Reorder the terms: 2 + -2y = -4(1 + y) 2 + -2y = (1 * -4 + y * -4) 2 + -2y = (-4 + -4y) Solving 2 + -2y = -4 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 2 + -2y + 4y = -4 + -4y + 4y Combine like terms: -2y + 4y = 2y 2 + 2y = -4 + -4y + 4y Combine like terms: -4y + 4y = 0 2 + 2y = -4 + 0 2 + 2y = -4 Add '-2' to each side of the equation. 2 + -2 + 2y = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = -4 + -2 2y = -4 + -2 Combine like terms: -4 + -2 = -6 2y = -6 Divide each side by '2'. y = -3 Simplifying y = -3
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